This can be the second one textbook you could obtain at no cost containing examples from the idea of complicated features. there'll even be examples of advanced features, advanced limits and intricate line integrals.

E. mj ≥ ⌊αj ⌋ (integer part). Hence I(ϕ) = O(−⌊D⌋) = O(− ⌊αj ⌋Dj ) where ⌊D⌋ denotes the integral part of the Q-divisor D = αj Dj . Now, consider the general case of analytic singularities and suppose that ϕ ∼ α 2 2 near the poles. 10, we may 2 log |f1 | +· · ·+|fN | assume that the (fj ) are generators of the integrally closed ideal sheaf J = J (ϕ/α), defined as the sheaf of holomorphic functions h such that |h| ≤ C exp(ϕ/α). In this case, the computation is made as follows (see also L. Bonavero’s work [Bon93], where similar ideas are used in connection with “singular” holomorphic Morse inequalities).